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Finding the Fourth Proportional to 40.23, 60.31 and 20.95

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Solution

The fourth proportional to 40.23, 60.31 and 20.95 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.23 : 60.31 = 20.95 : x
  2. Step 2: Convert to fraction form
    40.23/60.31 = 20.95/x
  3. Step 3: Cross multiply
    40.23x = 60.31 × 20.95
  4. Step 4: Simplify right side
    40.23x = 1,263.49
  5. Step 5: Solve for x
    x = 1,263.49/40.23
  6. Step 6: Final answer
    x = 31.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.